Suppose you swing a ball of mass m in a vertical circle on a string of length L. Asyou probably know from experience, there is a minimum angular velocity wmin youmust maintain if you want the ball to complete the full circle without the string goingslack at the top.▼Part AFind an expression for wmin in terms of g and L.Express your answer in terms of the variable L and the free-fall acceleration g.VE ΑΣΦWminSubmitPart BWmin =Request AnswerSubmitEvaluate wmin in rpm for a 65 g ball tied to a 1.0-m-long string.Express your answer in revolutions per minute.ΠΫΠΙ ΑΣΦ*****Request Answer?W?rpm

Answered: Image /qna-images/answer/6b447311-5409-4bf0-8eeb-2f7234ba3be5.jpg

Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably know from experience, there is a minimum angular velocity wmin you must maintain if you want the ball to complete the full circle without the string going slack at the top. Find an expression for wmin in terms of g and L. Express your answer in terms of the variable L and the free-fall acceleration g. Wmin = Submit Part B Wmin = 195| ΑΣΦ Submit Request Answer Evaluate wmin in rpm for a 65 g ball tied to a 1.0-m-long string. Express your answer in revolutions per minute. 15. ΑΣΦ ? Request Answer ? rpm

Suppose you swing a ball of mass m in a vertical circle on a string of length L. As you probably know from experience, there is a minimum angular velocity wmin you must maintain if you want the ball to complete the full circle without the string going slack at the top. Find an expression for wmin in terms of g and L. Express your answer in terms of the variable L and the free-fall acceleration g. Wmin = Submit Part B Wmin = 195| ΑΣΦ Submit Request Answer Evaluate wmin in rpm for a 65 g ball tied to a 1.0-m-long string. Express your answer in revolutions per minute. 15. ΑΣΦ ? Request Answer ? rpm

Physics for Scientists and Engineers

10th Edition

ISBN:9781337553278

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: Motion In Two Dimensions

Section: Chapter Questions

Problem 20P: An athlete swings a ball, connected to the end of a chain, in a horizontal circle. The athlete is...

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A gymnast does cartwheels along the floor and then launches herself into the air and executes several flips in a tuck while she is airborne. If her moment of inertia when executing the cartwheels is 13.5kgm2 and her spin rate is 0.5 rev/s, how many revolutions does she do in the air if her moment of inertia in the tuck is 3.4kgm2 and she has 2.0 s to do the flips in the air?
A large centrifuge, like the one shown in Figure 6.37(a), is used to expose aspiring astronauts to accelerations similar to those experienced in rocket launches and atmospheric reentries. (a) At what angular velocity is the centripetal acceleration 10 g if the rider is 15.0 m from the center of rotation? (b) The rider's cage hangs on a pivot at the end of the arm, allowing it to swing outward during rotation as shown in Figure 6.37(b). At what angle below the horizontal will the cage hang when the centripetal acceleration is 10 g? (Hint: The arm supplies centripetal force and supports the weight of the cage. Draw a free body diagram of the forces to see what the angle should be.) Figure 6.37 (a) NASA centrifuge used to subject trainees to accelerations similar to those experienced in rocket launches and reentries. (credit: NASA) (b) Rider in cage showing how the cage pivots outward during rotation. This allows the total force exerted on the rider by the cage to be along its axis at all times.
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Keratinocytes are the most common cells in the skins outer layer. As these approximately circular cells migrate across a wound during the healing process, they roll in a way that reduces the frictional forces impeding their motion. (a) Given a cell body diameter of 1.00 105 m (10 m), what minimum angular speed would be required to produce the observed linear speed of 1.67 107 m/s (10 m/min)? (b) How many complete revolutions would be required for the cell to roll a distance of 5.00 103 m? (Because of slipping as the cells roll, averages of observed angular speeds and the number of complete revolutions are about three times these minimum values.)
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